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28252000 = 255371009
BaseRepresentation
bin110101111000…
…1011101100000
31222011100110101
41223301131200
524213031000
62445312144
7462065230
oct153613540
958140411
1028252000
1114a47167
129565654
135b1247a
143a75cc0
152730e6a
hex1af1760

28252000 has 96 divisors (see below), whose sum is σ = 79410240. Its totient is φ = 9676800.

The previous prime is 28251961. The next prime is 28252009. The reversal of 28252000 is 25282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28252009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27496 + ... + 28504.

It is an arithmetic number, because the mean of its divisors is an integer number (827190).

Almost surely, 228252000 is an apocalyptic number.

28252000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39705120).

28252000 is an abundant number, since it is smaller than the sum of its proper divisors (51158240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28252000 is a wasteful number, since it uses less digits than its factorization.

28252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 28252000 is about 5315.2610472111. The cubic root of 28252000 is about 304.5671545323.

Adding to 28252000 its reverse (25282), we get a palindrome (28277282).

The spelling of 28252000 in words is "twenty-eight million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1009 1120 1400 1750 2000 2018 2800 3500 4000 4036 5045 5600 7000 7063 8072 10090 14000 14126 16144 20180 25225 28000 28252 32288 35315 40360 50450 56504 70630 80720 100900 113008 126125 141260 161440 176575 201800 226016 252250 282520 353150 403600 504500 565040 706300 807200 882875 1009000 1130080 1412600 1765750 2018000 2825200 3531500 4036000 5650400 7063000 14126000 28252000